Stability of the tangent bundle of the wonderful compactification of an adjoint group

Indranil Biswas, S. Senthamarai Kannan

Published 2013-10-29Version 1

Let $G$ be a complex linear algebraic group which is simple of adjoint type. Let $\overline G$ be the wonderful compactification of $G$. We prove that the tangent bundle of $\overline G$ is stable with respect to every polarization on $\overline G$.